Hardy’s inequalities with indices less than $1$
نویسندگان
چکیده
منابع مشابه
Artificial Dielectrics Having Refractive Indices Less than Unity
Two types of artificial dielectric are examined; the first consists of an array of conducting rods and the second of a set of parallel conducting plates having perforations in the form of circular holes. Both these media are designed to operate for an incident electromagnetic wave, which is polarized so that its electric field is parallel to the conducting elements. It is found that the effecti...
متن کاملNonlinear optics with less than one photon.
We demonstrate suppression and enhancement of spontaneous parametric down-conversion via quantum interference with two weak fields from a local oscillator (LO). Effectively, pairs of LO photons up-convert with high efficiency for appropriate phase settings, exhibiting an effective nonlinearity enhanced by at least 10 orders of magnitude. This constitutes a two-photon switch and promises to be a...
متن کاملLess Than Perfect Procedure
G iven the high prevalence of coronary artery disease in Western countries, selection of the optimal therapeutic strategy for individual cardiac patients has become an issue of utmost costbenefit importance. During the past two decades, large clinical trials have established the respective roles of medical treatment versus coronary artery bypass surgery in the management of patients with corona...
متن کاملWhy the braking indices of young pulsars are less than 3 ?
In this letter we discuss two possible reasons which cause the observed braking indices n of young radio pulsars to be smaller than 3: (a) the evolving spin-down model of the magnetic field component B⊥ increases with time; (b) the extrinsic braking torque model in which the tidal torques exerted on the pulsar by the fallback disk, and carries away the spin angular momentum from the pulsar. Bas...
متن کاملDigest of an Institution Monograph Artificial Dielectrics Having Refractive Indices Less than Unity
The term "artificial dielectric" is conveniently applied to any arrangement of conducting obstacles which affects the propagation of electromagnetic waves in a way similar to a solid dielectric. The essential property of a solid dielectric from the point of view of propagation is that the phase velocity within the dielectric is different from the free-space value. A quantitative indication of t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1981
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1981-0627685-7